Resonant frequency of the oscillating circuit.

The resonant frequency of the oscillating circuit is the frequency at which the reactance of the circuit capacitor becomes equal to the reactance of the inductance of the circuit. In this case, the total resistance of the series circuit becomes zero, and the parallel one - infinity.

The online calculator below allows you to find:
- The resonant frequency of the circuit through the capacitance and inductance of the circuit;
- The inductance of the circuit through the resonant frequency and capacitance of the circuit;
- The capacitance of the circuit through the resonant frequency and inductance of the circuit.

The resonant frequency of an oscillating circuit is the frequency at which the amplitude of oscillations in the circuit reaches its maximum value. An oscillatory circuit consists of inductance, capacitance and is used to generate or filter signals at a certain frequency.

When alternating current is applied to an oscillatory circuit, charges begin to move between the inductance and capacitance, creating oscillations. The resistor in the circuit limits the amplitude of the oscillations and leads to a gradual damping of the oscillations.

The resonant frequency of an oscillating circuit can be determined from the formula f = 1 / (2π√(LC)), where f is the resonant frequency, L is the inductance, C is the capacitance. The resonant frequency is measured in hertz.

At the resonant frequency, the oscillations in the circuit reach their maximum value, and the resistance of the circuit decreases to a minimum. This leads to the fact that at the resonant frequency the maximum power is transferred to the circuit and the oscillation amplitude reaches its maximum value.

The resonant frequency of an oscillatory circuit is used in the design of electronic devices such as radio transmitters and radio receivers. For example, radio transmitters use an oscillatory circuit to generate a signal at the desired frequency, while radio receivers use it to filter the signal at the desired frequency.

If the frequency of the signal applied to the oscillatory circuit differs from the resonant frequency, then the amplitude of oscillations in the circuit will be less. This can lead to undesirable effects such as additional noise and interference in electronic devices.

One way to increase the amplitude of oscillations in the circuit at frequencies close to resonant is to use an amplifier. The amplifier can increase the amplitude of the signal at the input of the circuit, which leads to an increase in the amplitude of oscillations in the circuit.

An oscillatory circuit is used in various electronic devices such as radio transmitters and radio receivers to generate or filter signals at a specific frequency. Understanding the resonant frequency and its effect on an oscillatory circuit is essential to the design of efficient and reliable electronic devices.
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